Solve the following linear program using the graphical method. Compute the value of the objective function and decision variables at optimality, and indicate which statement best describes the solution:
Minimize Z = 2x1 + x2
Solution to: 2x1 + 3x2 ≥ 3
x1 + 5x2 ≤ 10
2x1 + x2 ≤ 4
x1 – x2 ≤ 1
4x2 ≥ 2
x1, x2 ≥ 0
(a) this linear program has a unique optimal solution
(h) this linear program has alternate optima
(c) this linear program is infeasible
(d) this linear program is unbounded
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